非線性系統中魔梯現象在許多本質上完全不同的系統中都被觀察到,
例如Frenkel-Kontorova模型的Ground States與ANNNI模型中自旋狀態隨不同參數產生的相變。
本文將選擇一個海森堡模型,
能夠與Frenkel-Kontorova模型同樣以最小能量所得到的mapping equation求解,
並且與ANNNI模型中自旋系統的相變能夠對應,
求得絕對零度下的Ground State,並討論魔梯現象出現的可能性;
希望以此作為將Frenkel-Kontorova模型與ANNNI模型的魔梯現象連結的出發點。

We found the ground state of a Heisenberg model which has a phase transition at 0k similar to the ANNNI model by some strategy similar to the Frenkel-Kontorova model.
And we discuss the possibilities of the devil's staircase of this system,in order to connect the devil's staircase phenomenon from different nonlinear systems.

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